Least Common Multiple of 7400 and 7407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7400 and 7407 the smallest integer that is 54811800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7400 and 7407 is 54811800.

LCM(7400,7407) = 54811800

LCM of 7400 and 7407

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7400 and 7407

LCM of 7400 and 7407 is 54811800

Least common multiple can be found by multiplying the highest exponent prime factors of 7400 and 7407. First we will calculate the prime factors of 7400 and 7407.

Prime Factorization of 7400


2 7400
2 3700
2 1850
5 925
5 185
37 37
1

Prime factors of 7400 are 2, 5,37. Prime factorization of 7400 in exponential form is:

7400 = 23×52×371

Prime Factorization of 7407


3 7407
3 2469
823 823
1

Prime factors of 7407 are 3,823. Prime factorization of 7407 in exponential form is:

7407 = 32×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 7400 and 7407.

LCM(7400,7407) = 23×32×52×371×8231
LCM(7400,7407) = 54811800

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400

Factors of 7407

List of positive integer factors of 7407 that divides 7407 without a remainder.

1, 3, 9, 823, 2469, 7407

Least Common Multiple of 7400 and 7407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7400 and 7407, than apply into the LCM equation.

GCF(7400,7407) = 1
LCM(7400,7407) = ( 7400 × 7407) / 1
LCM(7400,7407) = 54811800 / 1
LCM(7400,7407) = 54811800

Properties of LCM 7400 and 7407

(i) The LCM of 7407 and 7400 is associative

LCM of 7400 and 7407 = LCM of 7407 and 7400

Related Least Common Multiples of 7400

Related Least Common Multiples of 7407

Frequently Asked Questions on LCM of 7400 and 7407

1. What is the LCM of 7400 and 7407?

Answer: LCM of 7400 and 7407 is 54811800.

2. What are the Factors of 7400?

Answer: Factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400. There are 24 integers that are factors of 7400. The greatest factor of 7400 is 7400.

3. What are the Factors of 7407?

Answer: Factors of 7407 are 1, 3, 9, 823, 2469, 7407. There are 6 integers that are factors of 7407. The greatest factor of 7407 is 7407.

4. How to Find the LCM of 7400 and 7407?

Answer:

Least Common Multiple of 7400 and 7407 = 54811800

Step 1: Find the prime factorization of 7400

7400 = 2 x 2 x 2 x 5 x 5 x 37

Step 2: Find the prime factorization of 7407

7407 = 3 x 3 x 823

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 54811800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 37 x 823

Step 4: Therefore, the least common multiple of 7400 and 7407 is 54811800.